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Simplifying -8(t + -2) + -3(3t + 1) = -4 Reorder the terms: -8(-2 + t) + -3(3t + 1) = -4 (-2 * -8 + t * -8) + -3(3t + 1) = -4 (16 + -8t) + -3(3t + 1) = -4 Reorder the terms: 16 + -8t + -3(1 + 3t) = -4 16 + -8t + (1 * -3 + 3t * -3) = -4 16 + -8t + (-3 + -9t) = -4 Reorder the terms: 16 + -3 + -8t + -9t = -4 Combine like terms: 16 + -3 = 13 13 + -8t + -9t = -4 Combine like terms: -8t + -9t = -17t 13 + -17t = -4 Solving 13 + -17t = -4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -17t = -4 + -13 Combine like terms: 13 + -13 = 0 0 + -17t = -4 + -13 -17t = -4 + -13 Combine like terms: -4 + -13 = -17 -17t = -17 Divide each side by '-17'. t = 1 Simplifying t = 1
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